3683960 has 64 divisors (see below), whose sum is σ = 9676800. Its totient is φ = 1236096.

The previous prime is 3683959. The next prime is 3683969. The reversal of 3683960 is 693863.

3683960 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3683960² = 27143122563200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 3683960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3683969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16409 + ... + 16631.

It is an arithmetic number, because the mean of its divisors is an integer number (151200).

Almost surely, 2^3683960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3683960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4838400).

3683960 is an abundant number, since it is smaller than the sum of its proper divisors (5992840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3683960 is a wasteful number, since it uses less digits than its factorization.

3683960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 3683960 is about 1919.3644781542. The cubic root of 3683960 is about 154.4442113452. Note that the first 3 decimals are identical.

The spelling of 3683960 in words is "three million, six hundred eighty-three thousand, nine hundred sixty".